TSTP Solution File: GEO008-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 14:41:41 EDT 2023

% Result   : Unsatisfiable 5.45s 1.14s
% Output   : Refutation 5.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  15 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  13   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57431,plain,
    $false,
    inference(unit_resulting_resolution,[],[f10040,f10060,f83,f82,f80]) ).

fof(f80,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X0)
      | between(X10,X5,X3)
      | between(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',t9) ).

fof(f82,axiom,
    between(a,c,e),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',c_between_a_and_e) ).

fof(f83,axiom,
    between(a,d,e),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',d_between_a_and_e) ).

fof(f10060,plain,
    ~ between(a,c,d),
    inference(unit_resulting_resolution,[],[f84,f9884,f57]) ).

fof(f57,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X0)
      | ~ between(X3,X5,X0)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',b8) ).

fof(f9884,plain,
    ~ between(a,b,d),
    inference(unit_resulting_resolution,[],[f9543,f47]) ).

fof(f47,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',t1) ).

fof(f9543,plain,
    ~ between(d,b,a),
    inference(unit_resulting_resolution,[],[f274,f281,f57]) ).

fof(f281,plain,
    between(e,d,a),
    inference(unit_resulting_resolution,[],[f83,f47]) ).

fof(f274,plain,
    ~ between(e,b,a),
    inference(unit_resulting_resolution,[],[f85,f47]) ).

fof(f85,axiom,
    ~ between(a,b,e),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',prove_betweenness) ).

fof(f84,axiom,
    between(c,b,d),
    file('/export/starexec/sandbox/tmp/tmp.FH9y0wIbwh/Vampire---4.8_14126',b_between_c_and_d) ).

fof(f10040,plain,
    ~ between(a,d,c),
    inference(unit_resulting_resolution,[],[f282,f9865,f57]) ).

fof(f9865,plain,
    ~ between(a,b,c),
    inference(unit_resulting_resolution,[],[f9540,f47]) ).

fof(f9540,plain,
    ~ between(c,b,a),
    inference(unit_resulting_resolution,[],[f274,f280,f57]) ).

fof(f280,plain,
    between(e,c,a),
    inference(unit_resulting_resolution,[],[f82,f47]) ).

fof(f282,plain,
    between(d,b,c),
    inference(unit_resulting_resolution,[],[f84,f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.32  % Computer : n032.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Wed Aug 30 18:12:17 EDT 2023
% 0.13/0.32  % CPUTime    : 
% 0.17/0.37  % (14248)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38  % (14253)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.17/0.38  % (14252)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.38  % (14250)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.38  % (14249)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.38  % (14251)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.38  % (14254)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.17/0.38  % (14255)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.17/0.38  Detected minimum model sizes of [3]
% 0.17/0.38  Detected maximum model sizes of [max]
% 0.17/0.39  TRYING [3]
% 0.17/0.41  Detected minimum model sizes of [3]
% 0.17/0.41  Detected maximum model sizes of [max]
% 0.17/0.45  TRYING [3]
% 0.17/0.48  TRYING [4]
% 4.87/1.13  % (14255)First to succeed.
% 5.45/1.14  % (14255)Refutation found. Thanks to Tanya!
% 5.45/1.14  % SZS status Unsatisfiable for Vampire---4
% 5.45/1.14  % SZS output start Proof for Vampire---4
% See solution above
% 5.45/1.14  % (14255)------------------------------
% 5.45/1.14  % (14255)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.45/1.14  % (14255)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.45/1.14  % (14255)Termination reason: Refutation
% 5.45/1.14  
% 5.45/1.14  % (14255)Memory used [KB]: 17270
% 5.45/1.14  % (14255)Time elapsed: 0.756 s
% 5.45/1.14  % (14255)------------------------------
% 5.45/1.14  % (14255)------------------------------
% 5.45/1.14  % (14248)Success in time 0.789 s
% 5.45/1.14  % Vampire---4.8 exiting
%------------------------------------------------------------------------------